自治Birkhoff系统的广义正则变换和辛算法研究

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基金项目: 国家自然科学基金资助项目(19990510);教育部骨干教师基金资助项目

Generalized Canonical Transformation and Symplectic Algorithm of the Autonomous Birkhoffian Systems

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

摘要: 研究了自治Birkhoff系统的广义正则变换,将Hamilton系统的辛算法推广到Birkhoff系统,通过引入凯莱变换和生成函数法构造Birkhoff方程的Birkhoff的辛差分格式,同时讨论了Birkhoff差分格式的辛算法.
- Birkhoff系统 /
- 辛算法 /
- 正则变换
Abstract: The Birkhoff systems are the generalization of the Hamiltonian systems. Generalized canonical transformations are studied. The symplectic algorithm of the Hamiltonian systems is extended into that of the Birkhoffian systems. Symplectic differential scheme of autonomous Birkhoffian systems was structured and discussed by introducing the Kailey Transformation.
- Birkhoffian system /
- sympletic algorithm /
- canonical transformation

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